Heat transfer plate and a plate pack for a heat exchanger comprising a plurality of such heat transfer plates
11774191 · 2023-10-03
Assignee
Inventors
Cpc classification
F28F2280/04
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F28D9/005
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F28F3/08
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
F28F3/08
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
A heat transfer plate comprises first, third and fourth guiding sections. The first and fourth guiding sections each comprise, as seen from a first side of the heat transfer plate, a male projection to engage the first adjacent heat transfer plate for aligning the plate and the first adjacent heat transfer plate, and, as seen from a second side of the heat transfer plate, a female recess to engage the second adjacent heat transfer plate for aligning the plate and the second adjacent heat transfer plate. The third guiding section comprises, as seen from the second side of the plate, a male projection to engage the second adjacent heat transfer plate for aligning the plate and the second adjacent plate, and, as seen from the first side of the plate, a female recess to engage the first adjacent heat transfer plate for aligning the plate and the first adjacent plate.
Claims
1. A heat transfer plate having opposing first and second sides, an outer edge and a central extension plane, the heat transfer plate having a heat transfer area provided with a heat transfer pattern configured to effect heat transfer between two fluids flowing on opposite sides of the heat transfer plate, the heat transfer pattern having an outermost periphery at which the heat transfer pattern terminates, the heat transfer plate also including an edge portion extending around the outer edge of the heat transfer plate, the edge portion comprising corrugations extending between first and second planes which are parallel to the central extension plane, the corrugations of the edge portion terminating at an innermost periphery of the edge portion, the innermost periphery of the edge portion being spaced from the outermost periphery of the heat transfer pattern, the central extension plane being arranged between the first and second planes, the corrugations being arranged, at the first side of the heat transfer plate, to abut a first adjacent heat transfer plate, and at the second side of the heat transfer plate, to abut a second adjacent heat transfer plate, when the heat transfer plate is arranged in a plate heat exchanger, wherein longitudinal and transverse centre axes of the heat transfer plate, which extend parallel to the central extension plane and perpendicular to each other, define a first, a second, a third and a fourth plate area, wherein the first and second plate areas are arranged on the same side of the transverse centre axis and the first and the third plate areas are arranged on the same side of the longitudinal centre axis, wherein the first, third and fourth plate areas comprise a first, third and fourth guiding section, respectively, the first and fourth guiding sections each comprise, as seen from the first side of the heat transfer plate, a male projection projecting beyond the first plane and arranged to engage with the first adjacent heat transfer plate for alignment of the heat transfer plate and the first adjacent heat transfer plate, and, as seen from the second side of the heat transfer plate, a female recess arranged to engage with the second adjacent heat transfer plate for alignment of the heat transfer plate and the second adjacent heat transfer plate, and the third guiding section comprises, as seen from the second side of the heat transfer plate, a male projection projecting beyond the second plane and arranged to engage with the second adjacent heat transfer plate for alignment of the heat transfer plate and the second adjacent heat transfer plate, and, as seen from the first side of the heat transfer plate, a female recess arranged to engage with the first adjacent heat transfer plate for alignment of the heat transfer plate and the first adjacent heat transfer plate.
2. A heat transfer plate according to claim 1, wherein the second plate area comprises a second guiding section comprising, as seen from the second side of the heat transfer plate, a male projection projecting beyond the second plane and arranged to engage with the second adjacent heat transfer plate for alignment of the heat transfer plate and the second adjacent heat transfer plate, and, as seen from the first side of the heat transfer plate, a female recess arranged to engage with the first adjacent heat transfer plate for alignment of the heat transfer plate and the first adjacent heat transfer plate.
3. A heat transfer plate according to claim 2, wherein a top of the male projections of the first and second guiding sections extend from a distance ML1 to a distance ML2 from the transverse centre axis and from a distance MW1 to a distance MW2 from the longitudinal centre axis, and an opening of the female recesses of the third and fourth guiding sections extend from a distance FL1 to a distance FL2 from the transverse centre axis and from a distance FW1 to a distance FW2 from the longitudinal centre axis, wherein FL1<ML1<ML2<FL2 and FW1<MW1<MW2<FW2, and the male projections of the first and second guiding sections fit into the female recesses of the third and fourth guiding sections.
4. A heat transfer plate according to claim 2, wherein a top of the male projections of the third and fourth guiding sections) extend from a distance ML3 to a distance ML4 from the transverse centre axis and from a distance MW3 to a distance MW4 from the longitudinal centre axis, and an opening of the female recesses of the first and second guiding sections extend from a distance FL3 to a distance FL4 from the transverse centre axis and from a distance FW3 to a distance FW4 from the longitudinal centre axis, wherein FL3<ML3<ML4<FL4 and FW3<MW3<MW4<FW4, and the male projections of the third and fourth guiding sections fit into the female recesses of the first and second guiding sections.
5. A heat transfer plate according to claim 2, wherein the first and fourth guiding sections each comprise a first plane portion extending between the outer edge of the heat transfer plate and the male projection and parallel to the central extension plane, and the second and third guiding sections each comprise a second plane portion extending between the outer edge of the heat transfer plate and the male projection and parallel to the central extension plane.
6. A heat transfer plate according to claim 2, wherein the first and fourth guiding sections each comprise a second plane portion extending between the outer edge of the heat transfer plate and the female recess and parallel to the central extension plane, and the second and third guiding sections each comprise a first plane portion extending between the outer edge of the heat transfer plate and the female recess and parallel to the central extension plane.
7. A heat transfer plate according to claim 5, wherein the first and second plane portions extend in the first and the second plane, respectively, of the heat transfer plate.
8. A heat transfer plate according to claim 5, wherein, as seen from the first side of the heat transfer plate, two reinforcement recesses, in relation to the first plane portions, are arranged on opposite sides of each of the first plane portions and two reinforcement projections, in relation to the second plane portions, are arranged on opposite sides of each of the second plane portions.
9. A heat transfer plate according to claim 2, wherein the first, second, third and fourth guiding sections are arranged at a respective one of four corners of the heat transfer plate.
10. A heat transfer plate according to claim 2, comprising two opposing long sides extending parallel to the longitudinal centre axis and two opposing short sides extending parallel to the transverse centre axis, wherein, within each of the first, second, third and fourth guiding sections, the female recess and the male projection are arranged on opposite sides of an imaginary straight line extending with an angle of 45 degrees in relation to one of the long sides and one of the short sides of the heat transfer plate.
11. A heat transfer plate according to claim 2, wherein a depth of the female recesses of the third and fourth guiding sections is ≥a height of the male projections of the first and second guiding sections, and a depth of the female recesses of the first and second guiding sections is ≥a height of the male projections of the third and fourth guiding sections.
12. A heat transfer plate according to claim 2, wherein at least one of the male projections of the first and second guiding sections and at least one of the female recesses of the third and fourth guiding sections have an at least partly uniform cross section parallel to the central extension plane, and at least one of the female recesses of the first and second guiding sections and at least one of the male projections of the third and fourth guiding sections have an at least partly uniform cross section parallel to the central extension plane.
13. A heat transfer plate according to claim 2, wherein at least one of the male projections of the first and second guiding sections and at least one of the female recesses of the third and fourth guiding sections have a cross section parallel to the central extension plane comprising two perpendicular portions each.
14. A heat transfer plate according to claim 2, wherein at least one of the female recesses of the first and second guiding sections and at least one of the male projections of the third and fourth guiding sections have a cross section parallel to the central extension plane comprising two perpendicular portions each.
15. A heat transfer plate according to claim 1, further comprising a groove configured to receive a gasket, the groove being located between the outermost periphery of the heat transfer pattern and the innermost periphery of the edge portion of the heat transfer plate.
16. A heat transfer plate according to claim 1, further comprising first and second opposing long sides extending parallel to the longitudinal centre axis and first and second opposing short sides extending parallel to the transverse centre axis, the first long side and the first short side defining a corner of the first guiding section, an entirety of the male projection in the first guiding section being located entirely on one side or an opposite side of an imaginary straight line extending from the corner of the first guiding section at an angle of 45 degrees in relation to the first long side and the first short side.
17. A heat transfer plate according to claim 15, further comprising first and second opposing long sides extending parallel to the longitudinal centre axis and first and second opposing short sides extending parallel to the transverse centre axis, the first long side and the second short side defining a corner of the third guiding section, an entirety of the male projection in the third guiding section being located entirely on one side or an opposite side of an imaginary straight line extending from the corner of the third guiding section at an angle of 45 degrees in relation to the first long side and the second short side.
18. A plate pack for a heat exchanger comprising a first heat transfer plate, a second heat transfer plate and a third heat transfer plate, the second heat transfer plate being arranged between the first heat transfer plate and the third heat transfer plate, the first, second and third heat transfer plates each having opposing first and second sides, an outer edge and a central extension plane and including an edge portion comprising corrugations extending between first and second planes which are parallel to the central extension plane, the central extension plane being arranged between the first and second planes, the corrugations being arranged at the first side of the second heat transfer plate to abut the first heat transfer plate, and the corrugations being arranged at the second side of the second heat transfer plate, to abut the third heat transfer plate, wherein for each of the first, second and third heat transfer plates, longitudinal and transverse centre axes which extend parallel to the respective central extension plane and perpendicular to each other, define a first, a second, a third and a fourth plate area, wherein the first and second plate areas are arranged on the same side of the transverse centre axis and the first and the third plate areas are arranged on the same side of the longitudinal centre axis, wherein the first, third and fourth plate areas comprise a first, third and fourth guiding section, respectively, the first and fourth guiding sections each comprise, as seen from the first side of the second heat transfer plate, a male projection projecting beyond the first plane and arranged to engage with the first heat transfer plate for alignment of the second heat transfer plate and the first heat transfer plate, and, as seen from the second side of the second heat transfer plate, a female recess arranged to engage with the third heat transfer plate for alignment of the second heat transfer plate and the third heat transfer plate, and the third guiding section comprises, as seen from the second side of the second heat transfer plate, a male projection projecting beyond the second plane and arranged to engage with the third heat transfer plate for alignment of the second heat transfer plate and the third heat transfer plate, and, as seen from the first side of the second heat transfer plate, a female recess arranged to engage with the first heat transfer plate for alignment of the second heat transfer plate and the first heat transfer plate, the second plate area comprising a second guiding section comprising, as seen from the second side of the second heat transfer plate, a male projection projecting beyond the second plane and arranged to engage with the third heat transfer plate for alignment of the second heat transfer plate and the third heat transfer plate, and, as seen from the first side of the second heat transfer plate, a female recess arranged to engage with the first heat transfer plate for alignment of the second heat transfer plate and the first heat transfer plate, wherein, when the first and second sides of the second heat transfer plate abut the second side of the first heat transfer plate and the first side of the third heat transfer plate, respectively, and the second heat transfer plate is rotated 180 degrees in relation to the first and third heat transfer plates about an axis extending parallel to a normal of the central extension plane, and through a cross point between the longitudinal and transverse centre axes, of the second heat transfer plate, the male projections of the first and fourth guiding sections of the second heat transfer plate are received in the female recesses of the fourth and first guiding sections, respectively, of the first heat transfer plate, the male projections of the second and third guiding portions of the first heat transfer plate are received in the female recesses of the third and second guiding sections, respectively, of the second heat transfer plate, the male projections of the fourth and first guiding sections of the third heat transfer plate are received in the female recesses of the first and fourth guiding sections, respectively, of the second heat transfer plate, and the male projections of the second and third guiding portions of the second heat transfer plate are received in the female recesses of the third and second guiding sections, respectively, of the third heat transfer plate, and wherein, when the first and second sides of the second heat transfer plate abut the first side of the first heat transfer plate and the second side of the third heat transfer plate, respectively, and the second heat transfer plate is rotated 180 degrees in relation to the first and third heat transfer plates about an axis coinciding with the transverse centre axis of the second heat transfer plate, the male projections of the first and fourth guiding sections of the second heat transfer plate are received in the female recesses of the third and second guiding sections, respectively, of the first heat transfer plate, the male projections of the first and fourth guiding sections of the first heat transfer plate are received in the female recesses of the third and second guiding sections, respectively, of the second heat transfer plate, the male projections of the second and third guiding sections of the third heat transfer plate are received in the female recesses of the fourth and first guiding sections, respectively, of the second heat transfer plate, and the male projections of the second and third guiding sections of the second heat transfer plate are received in the female recesses of the fourth and first guiding sections, respectively, of the third heat transfer plate.
19. A heat transfer plate having opposing first and second sides, an outer edge and a central extension plane, the heat transfer plate having a heat transfer area provided with a heat transfer pattern configured to effect heat transfer between two fluids flowing on opposite sides of the heat transfer plate, the heat transfer plate also including an edge portion extending around the outer edge of the heat transfer plate and located outwardly of an outer periphery of the heat transfer area, the edge portion comprising corrugations extending between first and second planes which are parallel to the central extension plane, the central extension plane being arranged between the first and second planes, the corrugations being arranged, at the first side of the heat transfer plate, to abut a first adjacent heat transfer plate, and at the second side of the heat transfer plate, to abut a second adjacent heat transfer plate, when the heat transfer plate is arranged in a plate heat exchanger, wherein longitudinal and transverse centre axes of the heat transfer plate, which extend parallel to the central extension plane and perpendicular to each other, define a first, a second, a third and a fourth plate area, wherein the first and second plate areas are arranged on the same side of the transverse centre axis and the first and the third plate areas are arranged on the same side of the longitudinal centre axis, wherein the first, third and fourth plate areas comprise a first, third and fourth guiding section, respectively, the first and fourth guiding sections each comprise, as seen from the first side of the heat transfer plate, a male projection projecting beyond the first plane and arranged to engage with the first adjacent heat transfer plate for alignment of the heat transfer plate and the first adjacent heat transfer plate, and, as seen from the second side of the heat transfer plate, a female recess arranged to engage with the second adjacent heat transfer plate for alignment of the heat transfer plate and the second adjacent heat transfer plate, and the third guiding section comprises, as seen from the second side of the heat transfer plate, a male projection projecting beyond the second plane and arranged to engage with the second adjacent heat transfer plate for alignment of the heat transfer plate and the second adjacent heat transfer plate, and, as seen from the first side of the heat transfer plate, a female recess arranged to engage with the first adjacent heat transfer plate for alignment of the heat transfer plate and the first adjacent heat transfer plate, the heat transfer plate including first and second opposing long sides extending parallel to the longitudinal centre axis and first and second opposing short sides extending parallel to the transverse centre axis, an entirety of the male projection in the first guiding section being located entirely on one side or an opposite side of an imaginary straight line extending with an angle of 45 degrees in relation to one of the long sides and one of the short sides of the heat transfer plate.
20. A heat transfer plate according to claim 19, wherein the imaginary straight line passes through a corner of the heat transfer plate at which the one of the long sides and the one of the short sides meet.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The invention will now be described in more detail with reference to the appended schematic drawings, in which
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DETAILED DESCRIPTION
(24) With reference to
(25) The heat transfer plate 4a will now be further described with reference to
(26) The heat transfer plate further has a longitudinal centre axis 20 extending parallel to, and half way between, the long sides 10, and a transverse centre axis 22 extending parallel to, and half way between, the short sides 12, and thus perpendicular to the longitudinal centre axis 20 (
(27) The heat transfer plate 4a comprises four port holes 32 arranged at a respective one of four corners 34, 36, 38 and 40 of the heat transfer plate, and recesses 42 extending from a respective one of the short sides 12 of the heat transfer plate 4a and arranged to receive carrying and guiding bars of the plate heat exchanger.
(28) The heat transfer plate 4a is pressed, in a conventional manner, in a pressing tool, to be given a desired structure, more particularly different corrugation patterns within different portions of the heat transfer plate. The corrugation patterns are optimized for the specific functions of the respective plate portions. Accordingly, the heat transfer plate 4a comprises two distribution areas 44 which each is provided with a distribution pattern adapted for optimized fluid distribution across the heat transfer plate. Further, the heat transfer plate 4a comprises a heat transfer area 46 arranged between the distribution areas 44 and provided with a heat transfer pattern adapted for optimized heat transfer between two fluids flowing on opposite sides of the heat transfer plate. Moreover, the heat transfer plate 4a comprises inner edge portions 48 surrounding the port holes 32 and an outer edge portion 50 extending along an outer edge 51 of the heat transfer plate 4a. The inner and outer edge portions 48 and 50 comprises corrugations 52 which make the inner and outer edge portions stiffer and, thus, the heat transfer plate 4a more resistant to deformation. Further, the corrugations 52 form a support structure in that they are arranged to abut adjacent heat transfer plates when the heat transfer plate 4a is arranged in the plate heat exchanger. Depending on the design of the distribution and heat transfer patterns, the heat transfer plate 4a may also be arranged to abut adjacent heat transfer plates within the distribution and heat transfer areas 44 and 46, respectively, when the heat transfer plate is arranged in the plate heat exchanger. However, this is not further discussed herein. Also, the heat transfer plate 4a comprises a groove 53 arranged to receive a gasket.
(29) With reference especially to
(30) The first, second, third and fourth plate areas 24, 26, 28 and 30 comprise a first, second, third and fourth guiding section 60, 62, 64 and 66, respectively, arranged at a respective one of the four corners 34, 36, 38 and 40 of the heat transfer plate 4a. With reference especially to
(31) Similarly, with reference especially to
(32) Naturally, the male projections as seen from one side of the heat transfer plate forms female recesses as seen from the other side of the plate, and vice versa.
(33) Thus, as is clear from
(34) The male projections 68, 70, 88 and 90 and the female recesses 78, 80, 98 and 100 all have, parallel to the central extension plane 58, an essentially uniform rectangular cross section, with a cross section of the female recesses being larger than the cross section of the male projections. All the female recesses have essentially the same cross section while all the male projections have essentially the same cross section. Thus, the male projections fit into the female recesses. Further, all the female recesses have essentially the same depth d while all the male projections have essentially the same height h, and d is essentially equal to h. The depth d and height h of the female recess 78 and the male projection 68 of the first guiding section 60 is illustrated in
(35) As is clear from
(36) With reference especially to
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(38) Further, the fourth guiding section 66 of the second heat transfer plate 4b engages with the first guiding sections 60 of the first and third heat transfer plates 4a and 4c (
(39) Further, the third guiding section 64 of the second heat transfer plate 4b engages with the second guiding sections 62 of the first and third heat transfer plates 4a and 4c (
(40) Further, the second guiding section 62 of the second heat transfer plate 4b engages with the third guiding sections 64 of the first and third heat transfer plates 4a and 4c (
(41) Further, the first guiding section 60 of the second heat transfer plate 4b engages with the fourth guiding sections 66 of the first and third heat transfer plates 4a and 4c (
(42) Thereby, in the plate pack 2, the second heat transfer plate 4b engages, at all four of its guiding sections 60, 62, 64 and 66, with both the first and the third heat transfer plate 4a, 4c, which results in a reliable and effective alignment of the first, second and third heat transfer plates.
(43) In the above described plate pack 2, the heat transfer plates are “rotated” in relation to each other. In an alternative plate pack according to the invention, the heat transfer plates are instead “flipped” in relation to each other. Accordingly, the second heat transfer plate 4b is arranged between the first and third heat transfer plates 4a and 4c. Further, the first and third heat transfer plates 4a and 4b are both rotated 180 degrees about their respective transverse centre axis 22, in relation to the second heat transfer plate 4b. Thereby, the first and second sides 6 and 8 of the second heat transfer plate 4b abut the first side 6 of the first heat transfer plate 4a and the second side 8 of the third heat transfer plate 4c, respectively. More particularly, portions of the second heat transfer plate 4b extending in the first plane 54 contact opposing portions of the first heat transfer plate 4a extending in the first plane 54, and portions of the second heat transfer plate 4b extending in the second plane 56 contact opposing portions of the third heat transfer plate 4c extending in the second plane 56. For example, as schematically illustrated in
(44) Further, the third guiding section 64 of the second heat transfer plate 4b engages with the first guiding sections 60 of the first and third heat transfer plates 4a and 4c (
(45) Further, the fourth guiding section 66 of the second heat transfer plate 4b engages with the second guiding sections 62 of the first and third heat transfer plates 4a and 4c (
(46) Further, the first guiding section 60 of the second heat transfer plate 4b engages with the third guiding sections 64 of the first and third heat transfer plates 4a and 4c (
(47) Further, the second guiding section 62 of the second heat transfer plate 4b engages with the fourth guiding sections 66 of the first and third heat transfer plates 4a and 4c (
(48) Thereby, in the plate pack above, the second heat transfer plate 4b engages, at all four of its guiding sections 60, 62, 64 and 66, with both the first and the third heat transfer plate 4a, 4c, which results in a reliable and effective alignment of the first, second and third heat transfer plates.
(49) Thus, due to the inventive construction of the first, second, third and fourth guiding sections 60, 62, 64 and 66, the heat transfer plates 4a, 4b and 4c are properly aligned with each other in a plate pack irrespective of whether they are rotated or flipped in relation to each other. Due to the design, and location on the heat transfer plates, of the female recesses and male projections, the actual alignment of the heat transfer plates is performed by means of outer portions of the female recesses and the male projections, i.e. portions of the female recesses and the male projections facing the respective outer edges 51 of the heat transfer plates. Thus, when the heat transfer plates are aligned, the outer portions of the female recesses and the male projections of one heat transfer plate engage with the outer portions of the male projections and the female recesses, respectively, of the adjacent plates. Inner portions of the female recesses and the male projections, i.e. portions of the female recesses and the male projections facing away from the respective outer edges 51 of the heat transfer plates, do not engage with each other.
(50) In that the first and second plane portions 72, 74, 102, 104 and 82, 84, 92 and 94 extend in the first and second planes 54 and 56, and the depth of the female recesses 78, 80, 98 and 100 is equal to the height of the male projections 68, 70, 88 and 90, the first and second plate portions, just like inside bottom surfaces of the female recesses and outside top surfaces of the male projections, will abut each other in the plate pack and so make the plate pack more stable.
(51) The above described embodiments of the present invention should only be seen as an example. A person skilled in the art realizes that the embodiments discussed can be varied and combined in a number of ways without deviating from the inventive conception.
(52) For example, the female recesses and the male projections need not have a rectangular cross section. As an example, they may have a round, triangular or pentagonal cross section, such as the cross section illustrated in
(53) Further, the female recesses need not all have the same cross section and the same depth. Similarly, the male projections need not all have the same cross section and the same height. Also, the depth of the female recesses need not be equal to the height of the male projections but could be larger or even smaller. Also, one or more of the first plane portions of the guiding sections may extend in a plane different from the first plane. Similarly, one or more of the second plane portions of the guiding sections may extend in a plane different from the second plane.
(54) Also, the alignment function need not reside solely within the outer portions of the female recesses and the male projections but could instead reside solely within the inner portions of the female recesses and the male projections, or within one or more of the outer portions and/or one or more of the inner portions of the female recesses and the male projections.
(55) The heat transfer plate need not be rectangular but may have other shapes, such as essentially rectangular with rounded corners instead of right corners, circular or oval. The heat transfer plate need not be made of stainless steel but could be of other materials, such as titanium or aluminium.
(56) The guiding sections of the heat transfer plate need not be arranged at a respective corner of the heat transfer plate but could be arranged closer to the longitudinal centre axis and/or closer to the transverse centre axis. Also, within each of the guiding sections, the female recess and the male projection need not be arranged on opposite sides, but could instead be arranged on the same side, of the imaginary straight line 108 illustrated in
(57) The plate packs described above comprises one plate type only. Naturally, the plate packs could instead comprise two or more different types of alternately arranged heat transfer plates, for example heat transfer plates with different heat transfer patterns and/or guiding sections as long as the heat transfer patterns and/or the guiding sections are compatible with each other.
(58) The present invention could be used in connection with other types of plate heat exchangers than gasketed ones, such as brazed, all-welded and semi-welded (heat transfer plates pairwise welded to each other in cassettes, which cassettes are separated by gaskets) plate heat exchangers. The present invention could also be used with plate heat exchangers lacking carrying and guiding bars, i.e. for heat transfer plates lacking recesses for receiving such carrying and guiding bars.
(59) The locations of the first, second, central extension, third, fourth, fifth and sixth planes 54, 56, 58, 76, 86, 96 and 106 need not be as above defined but could vary. As an example, with reference to
(60) It should be stressed that a description of details not relevant to the present invention has been omitted and that the figures are just schematic and not drawn according to scale. It should also be said that some of the figures have been more simplified than others. Therefore, some components may be illustrated in one figure but left out on another figure.